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11345131410320 = 245300147255629
BaseRepresentation
bin1010010100010111111010…
…0001110001001110010000
31111011120202201021220012002
42211011332201301032100
52441334312120112240
640043514215253132
72250441634600511
oct245057641611620
944146681256162
1011345131410320
113684496a06824
12133291967a1a8
13643ac2454486
142b3170592a08
1514a1a60b2d15
hexa517e871390

11345131410320 has 40 divisors (see below), whose sum is σ = 26386220634360. Its totient is φ = 4536540288000.

The previous prime is 11345131410317. The next prime is 11345131410331. The reversal of 11345131410320 is 2301413154311.

It can be written as a sum of positive squares in 4 ways, for example, as 2590657640704 + 8754473769616 = 1609552^2 + 2958796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23387735 + ... + 23867894.

It is an arithmetic number, because the mean of its divisors is an integer number (659655515859).

Almost surely, 211345131410320 is an apocalyptic number.

11345131410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345131410320 is an abundant number, since it is smaller than the sum of its proper divisors (15041089224040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11345131410320 is a wasteful number, since it uses less digits than its factorization.

11345131410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47258643 (or 47258637 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 11345131410320 its reverse (2301413154311), we get a palindrome (13646544564631).

The spelling of 11345131410320 in words is "eleven trillion, three hundred forty-five billion, one hundred thirty-one million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3001 6002 12004 15005 24008 30010 48016 60020 120040 240080 47255629 94511258 189022516 236278145 378045032 472556290 756090064 945112580 1890225160 3780450320 141814142629 283628285258 567256570516 709070713145 1134513141032 1418141426290 2269026282064 2836282852580 5672565705160 11345131410320